Electronic Theses and Dissertation

Pemodelan matematika merupakan salah satu aspek penting dalam pembelajaran matematika. Rendahnya kemampuan pemodelan matematika siswa dalam menyelesaikan permasalahan kontekstual masih menjadi tantangan dalam pembelajaran matematika. Salah satu alternatif pembelajaran yang dapat digunakan untuk meningkatkan kemampuan tersebut adalah model Problem Based Learning berbantuan GeoGebra. Penelitian ini bertujuan untuk mengetahui peningkatan kemampuan pemodelan matematika siswa melalui model Problem Based Learning berbantuan GeoGebra pada materi penerapan turunan fungsi. Penelitian ini menggunakan pendekatan kuantitatif dengan jenis penelitian pre-eksperimental dan desain One-Group Pretest-Posttest Design. Sampel penelitian adalah 31 siswa kelas XII-1 SMA Negeri 1 Trienggadeng yang dipilih menggunakan teknik random sampling. Instrumen penelitian berupa tes kemampuan pemodelan matematika pada materi penerapan turunan fungsi. Data dianalisis menggunakan uji normalitas Shapiro-Wilk dan uji paired sample t-test. Hasil penelitian menunjukkan bahwa penerapan model Problem Based Learning berbantuan GeoGebra meningkatkan kemampuan pemodelan matematika siswa pada materi penerapan turunan fungsi. Peningkatan tersebut didukung oleh keterlibatan siswa dalam melaksanakan setiap tahapan pemodelan melalui penyelesaian berbagai permasalahan kontekstual serta penggunaan GeoGebra yang membantu memvisualisasikan, mengeksplorasi, dan memverifikasi model matematika. Implikasi penelitian ini menunjukkan bahwa model Problem Based Learning berbantuan GeoGebra dapat dijadikan sebagai salah satu alternatif pembelajaran untuk mendukung peningkatan kemampuan pemodelan matematika siswa pada materi penerapan turunan fungsi.

Mathematical modeling is an essential aspect of mathematics education. However, students' low mathematical modeling ability in solving contextual problems remains a challenge in mathematics learning. One alternative learning approach that can be used to improve this ability is the implementation of the Problem Based Learning (PBL) model assisted by GeoGebra. This study aimed to determine the improvement of students' mathematical modeling ability through the implementation of the Problem Based Learning model assisted by GeoGebra on the application of derivatives. This study employed a quantitative approach using a pre-experimental research design with a One-Group Pretest–Posttest Design. The sample consisted of 31 students from Class XII-1 of SMA Negeri 1 Trienggadeng, selected using random sampling. The research instrument was a mathematical modeling ability test on the application of derivatives. The data were analyzed using the Shapiro–Wilk normality test and the paired sample t-test. The results showed that the implementation of the Problem Based Learning model assisted by GeoGebra improved students' mathematical modeling ability in the application of derivatives. This improvement was supported by students' engagement in carrying out each stage of the mathematical modeling process through solving various contextual problems, as well as by the use of GeoGebra to visualize, explore, and verify mathematical models. The findings imply that the Problem Based Learning model assisted by GeoGebra can serve as an alternative instructional approach to support the improvement of students' mathematical modeling ability in learning the application of derivatives.